| Term | Definition |
| Circle | Set of all points in a plane at a distance r from a given point |
| Ellipse | Set of all points P in a plane such that the sum of the distances from P to two fixed points F1 and F2 is a given constant k |
| Hyperbola | Set of all points P in a plane such that the difference between the distances from P to the focci F1 and F2 is a given constant k |
| Shape of a Circle | vertical intersection of a plane and a double cone, Circular shaped |
| Shape of an Ellipse | full bottom or top diagonal intersection of a plane and a double cone, Oval shaped |
| Shape of a Hyperbola | horizontal intersection of a plane and a double cone, two U shapes |
| Shape of a Parabola | bottom or top diagonal intersection of a plane and a double cone, U shaped |
| Parabola | graph of a quadratic function; The set of all points in a plane that are the same distance from a fixed line and a fixed point not on the line |